Question Consider a cube with a volume of%C2%A0 64%C2%A0cm3 . What can be concluded about the cube? Select the%C2%A0two that apply.(2 points) Responses The side length is 4 cm. The side length is 4 cm. The side length is 8 cm. The side length is 8 cm. The expression%C2%A0s2 , where s represents the side length was used to solve this problem. The expression%C2%A0s squared, where s represents the side length was used to solve this problem. Taking the cube root of its volume will determine its side length.

To solve the problem, we need to use the formula for the volume of a cube, which is given by:

\[ V = s^3 \]

where \( V \) is the volume and \( s \) is the length of a side of the cube. Given that the volume of the cube is 64 cm³, we set up the equation:

\[ s^3 = 64 \]

To find the side length \( s \), we take the cube root of both sides:

\[ s = \sqrt[3]{64} = 4 \text{ cm} \]

Now, we can determine which conclusions are valid among the options provided:

1. **The side length is 4 cm.** - **True**, as we calculated \( s = 4 \) cm.

2. **The side length is 8 cm.** - **False**, as \( s = 4 \) cm.

3. **The expression \( s^2 \), where s represents the side length, was used to solve this problem.** - **False**, as we used \( s^3 \) to find the volume, not \( s^2 \).

4. **Taking the cube root of its volume will determine its side length.** - **True**, as we took the cube root of 64 to find \( s \).

Thus, the correct conclusions are:
- The side length is 4 cm.
- Taking the cube root of its volume will determine its side length.